RBC Numerical Reasoning and Data 3 — Questions and Answers
Question 1: A company's profit margin is 18% and total revenue is $3,500,000. What is the profit?
- $560,000
- $595,000
- $630,000 (Correct answer)
- $665,000
Correct answer: $630,000
Profit = 18% × $3,500,000 = 0.18 × 3,500,000 = $630,000.
Question 2: A line graph shows employee headcount: 2020=200, 2021=230, 2022=215, 2023=260, 2024=290. Between which two consecutive years was the greatest increase?
- 2020–2021
- 2021–2022
- 2022–2023 (Correct answer)
- 2023–2024
Correct answer: 2022–2023
Changes: +30, −15, +45, +30 — the greatest increase was 2022–2023 with +45 employees.
Question 3: If a loan of $12,000 accrues simple interest at 5% per year, what is the total amount owed after 3 years?
- $12,600
- $13,200
- $13,800 (Correct answer)
- $14,400
Correct answer: $13,800
Interest = $12,000 × 0.05 × 3 = $1,800; total = $12,000 + $1,800 = $13,800.
Question 4: A dataset has values: 14, 22, 19, 31, 22, 18, 22, 25. What is the mode?
- 18
- 19
- 22 (Correct answer)
- 25
Correct answer: 22
The value 22 appears three times, more than any other value, making it the mode.
Question 5: Unit cost falls from $80 to $68. What is the percentage decrease?
- 12%
- 13%
- 15% (Correct answer)
- 17%
Correct answer: 15%
Percentage decrease = (80 − 68) / 80 × 100 = 12 / 80 × 100 = 15%.
Question 6: A table shows conversion rates by channel: Email=3.2%, Social=1.8%, Search=4.5%, Direct=6.1%, Referral=2.7%. If 10,000 visitors come from Search, how many conversions are expected?
- 320
- 380
- 420
- 450 (Correct answer)
Correct answer: 450
Conversions = 4.5% × 10,000 = 450.
Question 7: An investment grows from $5,000 to $6,050 in one year. What is the annual return rate?
- 18%
- 20%
- 21% (Correct answer)
- 22%
Correct answer: 21%
Return rate = (6,050 − 5,000) / 5,000 × 100 = 1,050 / 5,000 × 100 = 21%.
RBC Numerical Reasoning and Data 3
A company's profit margin is 18% and total revenue is $3,500,000.
What is the profit?